6533b7d4fe1ef96bd1262711
RESEARCH PRODUCT
Dynamics of a minimal consumer network with bi -directional influence
Jochen JungeilgesJochen JungeilgesEkaterina EkaterinchukTatyana RyazanovaIryna Sushkosubject
Numerical AnalysisPlane (geometry)Applied Mathematics05 social sciencesStructure (category theory)Bifurcation diagram01 natural sciences010305 fluids & plasmasConnection (mathematics)Variable (computer science)Control theoryModeling and Simulation0502 economics and business0103 physical sciencesAttractorStatistical physics050207 economicsBifurcationConsumer behaviourMathematicsdescription
Abstract We study the dynamics of a model of interdependent consumer behavior defined by a family of two-dimensional noninvertible maps. This family belongs to a class of coupled logistic maps with different nonlinearity parameters and coupling terms that depend on one variable only. In our companion paper we considered the case of independent consumers as well as the case of uni-directionally connected consumers. The present paper aims at describing the dynamics in the case of a bi-directional connection. In particular, we investigate the bifurcation structure of the parameter plane associated with the strength of coupling between the consumers, focusing on the mechanisms of qualitative transformations of coexisting attractors and their basins of attraction.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-01 | Communications in Nonlinear Science and Numerical Simulation |